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What is the Least Common Multiple of 64266 and 64270?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64266 and 64270 is 2065187910.

LCM(64266,64270) = 2065187910

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Least Common Multiple of 64266 and 64270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64266 and 64270, than apply into the LCM equation.

GCF(64266,64270) = 2
LCM(64266,64270) = ( 64266 × 64270) / 2
LCM(64266,64270) = 4130375820 / 2
LCM(64266,64270) = 2065187910

Least Common Multiple (LCM) of 64266 and 64270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64266 and 64270. First we will calculate the prime factors of 64266 and 64270.

Prime Factorization of 64266

Prime factors of 64266 are 2, 3, 10711. Prime factorization of 64266 in exponential form is:

64266 = 21 × 31 × 107111

Prime Factorization of 64270

Prime factors of 64270 are 2, 5, 6427. Prime factorization of 64270 in exponential form is:

64270 = 21 × 51 × 64271

Now multiplying the highest exponent prime factors to calculate the LCM of 64266 and 64270.

LCM(64266,64270) = 21 × 31 × 107111 × 51 × 64271
LCM(64266,64270) = 2065187910